3 edition of **Free vibration of hexagonal panels simply supported at discrete points** found in the catalog.

Free vibration of hexagonal panels simply supported at discrete points

K. Chauncey Wu

- 201 Want to read
- 30 Currently reading

Published
**1991**
by National Aeronautics and Space Administration, Langley Research Center in Hampton, Va
.

Written in English

- Curvature,
- Plates (Engineering)

**Edition Notes**

Statement | K. Chauncey Wu. |

Series | NASA technical memorandum -- 102688. |

Contributions | Langley Research Center. |

The Physical Object | |
---|---|

Pagination | 1 v. |

ID Numbers | |

Open Library | OL17630481M |

OCLC/WorldCa | 60328359 |

vibration levels and the rattling sounds from the panels. Sealant is applied to close gaps in order to increase the transmission loss from the engine, wind, and road noise sources to the vehicle interior. Expandable foam injected between panels, such as the dashboard and firewall, helps to add stiffness and vibration Size: KB. isolated plates with simply supported and clamped boundary conditions. Results are also presented for a selection of in-plane loaded panels; below the initial buckling load. Mathematical Approach Although buckling and vibration problems are generally treated separately from a physical point of view, computationally they may be regarded as the same.

Studies for the free vibration of irregular honeycomb core SB concluded that geometries of core do affect on natural frequencies of panels [11, 12]. Another study [13] for sandwich structure prepared with textile reinforced composite for fire resistant behaviours also revealed the dependence of characteristics on core materials. Free vibration of stepped beams: Exact and numerical solutions. Journal of Sound and Vibration - [ Links ] Janghorban, M., (). Static and free vibration analysis of carbon nano wires based on Timoshenko beam theory using differential quadrature method. Latin American Journal of Solids and Structures 8: [ Links ].

Table 1. Fundamental Bending Frequencies Configuration Frequency (Hz) Cantilever f 1 = U» ¼ º «¬ ª S EI L 2 1 2 f 2 = f 1 f 3 = f 1 Cantilever with End Mass m f 1 = 3 L m L 3EI 2 1 S U Simply-Supported at both Ends (Pinned-Pinned) f n =»¼ U º «¬ ª S S EI L n 2 1 2, n=1, 2, 3, . Free-Free f 1 = 0 File Size: KB. Two new approximate methods for analyzing free vibration of structural components. Free vibration of generally supported rectangular Kirchhoff plates: State-space-based differential quadrature method Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analysis of beams and by:

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FREE VIBRATION OF HEXAGONAL PANELS SIMPLY SUPPORTED AT DISCRETE POINTS K. Chauncey Wu NASA Langley Research Center Hampton, VA INTRODUCTION Several deep-space science and planetary exploration missions'currently being considered (ref.

1) will require using large hexagonal panels with some degree of curvature attached to a truss structure. effects of both support point location and panel curvature on the lowest natural frequency of the panel are quantified and discussed.

The panels are simply supported at three equally spaced points. FREE VIBRATION OF HEXAGONAL PANELS SIMPLY SUPPORTED AT DISCRETE POINTS () {Wu91freevibration, author = {K. Chauncey Wu and K. Chauncey Wu}, title = {FREE VIBRATION OF HEXAGONAL PANELS SIMPLY SUPPORTED AT DISCRETE POINTS}, year will require using large hexagonal panels with some degree of curvature attached to a truss structure.

Several deep-space science and planetary exploration missions'currently being considered (ref. 1) will require using large hexagonal panels with some degree of curvature attached to a truss : and K.

Chauncey Wu and K. Chauncey Wu. A variational full-field method is presented in this paper for the free vibration analysis of open circular cylindrical laminated shells supported at discrete points.

A differential equation in matrix form is developed using the first-order shear deformable theory of shells, and rotary inertia is included. A typical introducing problem in plate dynamics theories is free vibration of simply supported rectangular plate. The analytical three-dimensional solution of the problem was in provided by Sirnavis et al (Srinivas, Rao et al.

The three-dimensional numerical solution of the problem was inCited by: 2. FREE VIBRATIONS OF SIMPLY SUPPORTED BEAMS USING FOURIER SERIES SALWA MUBARAK ABDULLAH Assistant Lecturer University of Mosul Abstract Fourier series will be utilized for the solution of simply supported beams with different loadings in order to arrive at a free vibration.

The equation of the free vibration is 0 4 4 2 2 2 w w w w x y c t y. The first assessment gives several frequencies for a simply supported multilayered composite cylindrical panel with radii of curvature R α =10 m and R β =∞, and dimensions a = b=5 m.

The thickness is h = m (the shell is moderately thick with a thickness ratio R α / h = 20).The composite layers have properties E 1 = 25E 0, E 2 = E 3 =E 0, G 12 = G 13 =E 0, G 23 = E 0, ν 12 = ν Cited by: Use the same approach as in the discrete spring-mass systems: Free Vibration Again assume harmonic motion.

In a continuous system, there are an infinite number of natural frequencies (eigenvalues) and associated modes (eigenvectors) so: ω wx (, t) = w (x) e separable solution spatially (x) and temporally (t) Consider the homogeneous case (p zFile Size: KB. The objective of the study is to analyse the behaviour of the simply supported beam subjected to three rectangular cracks at different locations under free and damped vibration.

A comparison is made by using two different oils under both situations with and without cracks. Cracks in vibrating components can initiate catastrophic failures. Yu and Cleghorn [11] presented the free flexural vibration analysis of simply supported symmetric rectangular honeycomb panels using the classical plate theory, Mindlin's improved plate theory.

W Han et al. [28] used Ritz approach for the analysis of free vibration of symmetrically laminated composite skew plates. The method was used to analyse the free vibration characteristics of arbitrarily symmetrically laminated, skew plates with any combinations of clamped, simply supported and free boundary conditions or comer point supports.

Get this from a library. Free vibration of hexagonal panels simply supported at discrete points. [K Chauncey Wu; Langley Research Center.]. Moreover, as seen from Table 3, Table 6, Table 7, Table 8, in the given number of digits, DSC predictions completely match with the exact results of simply supported laminates orientated to become specially implies the superiority of the DSC compared to the other techniques.

It is known that the thin plate theory is not very accurate in the vibration analysis of laminated by: Free Vibration Analysis of Rectangular Plates Using Galerkin-Based Finite Element Method For simply supported (SSSS) thin isotropic plates; Leissa[1], presented the exact Thus, at least three sampling points are needed in [ direction, and three points in K direction along with the respective weights, w k and w l.

Free Vibration Response of Functionally Graded Material Plate Subjected To Simply Supported and Simply Supported-Clamped Boundary Conditions Pankaj Bohra1, Piyush Sharma2, Dr. Manish Bhandari3, Shailendra Bohra4, Ved Prakash5 1Lecturer Mechanical Engineering, Government Polytechnic College Bagidora, Distt.

Banswara Rajasthan 2Phd. Scholar, M.B. Chapter 7 Lattice vibrations Introduction Up to this point in the lecture, the crystal lattice was always assumed to be completely rigid, i.e.

atomic displacements away from the positions of a perfect lattice were not considered. For this case, we have developed a. Dynamics of a cantilever honeycomb sandwich plate are studied in this paper. The governing equations of the composite plate subjected to both in-plane and transverse excitations are derived by using Hamilton’s principle and Reddy’s third-order shear deformation theory.

Based on the Rayleigh–Ritz method, some modes of natural frequencies for the cantilever honeycomb sandwich plate are Cited by: 4. Sompon Taeprasartsit, Nonlinear free vibration of thin functionally graded beams using the finite element method, Journal of Vibration and Control, 21, 1, (29), ().

Crossref A. Kamali Eigoli and M. Ahmadian, Nonlinear vibration of beams under nonideal boundary conditions, Acta Mechanica, (), ().

Using the Rayleigh–Ritz method, Abrate studied the vibration of point supported triangular plates. Karunasena and Kitipornchai [ 18 ], based on the Rayleigh–Ritz method and Reissner–Mindlin plate theory, analyzed free vibration of shear deformable general triangular plates with arbitrary combinations of boundary : Wenjie Guo, Qingsong Feng.

A novel Bessel function method is proposed to obtain the exact solutions for the free-vibration analysis of rectangular thin plates with three edge conditions: (i) fully simply supported; (ii) fully clamped, and (iii) two opposite edges simply supported and the other two edges by: A simply supported beam has an inﬁnite number of fundamental modes of vibration.

The natural frequency of the ﬁrst mode of vibration (excluding transversal shear and rotational effects) is given by Eq. (2). f 1 = 1 2ˇ ˇ L 2 s EI ˆ (2) where ˆ = m V = w gV (3) in which m is the mass per unit of length, w is the weight per unit of length File Size: 93KB.Free Vibration Of Simply Supported Beam Subjected To Axial Force Nawal H.

Al – Raheimy College of Engineering, Babylon University Abstract This paper presents a theoretical investigation of the free transverse vibrations of a uniform beam that is simply supported at both ends subjected to a static axial force.

The beam is considered to.